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Finding the Third Proportional to 180,663.75 and 389,076.75

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Solution

The third proportional to 180,663.75 and 389,076.75 is: 837,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,663.75 : 389,076.75 = 389,076.75 : x
  2. Step 2: Convert to fraction form
    180,663.75/389,076.75 = 389,076.75/x
  3. Step 3: Cross multiply
    180,663.75x = 389,076.75 × 389,076.75
  4. Step 4: Simplify right side
    180,663.75x = 151,380,717,390.56
  5. Step 5: Solve for x
    x = 151,380,717,390.56/180,663.75
  6. Step 6: Final answer
    x = 837,914.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.